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Finding the Fourth Proportional to 747.70, 1,120.65 and 382.58

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Solution

The fourth proportional to 747.70, 1,120.65 and 382.58 is: 573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.70 : 1,120.65 = 382.58 : x
  2. Step 2: Convert to fraction form
    747.70/1,120.65 = 382.58/x
  3. Step 3: Cross multiply
    747.70x = 1,120.65 × 382.58
  4. Step 4: Simplify right side
    747.70x = 428,738.28
  5. Step 5: Solve for x
    x = 428,738.28/747.70
  6. Step 6: Final answer
    x = 573.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.